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Finding the Fourth Proportional to 6,332.34, 8,738.04 and 3,679.71

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Solution

The fourth proportional to 6,332.34, 8,738.04 and 3,679.71 is: 5,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.34 : 8,738.04 = 3,679.71 : x
  2. Step 2: Convert to fraction form
    6,332.34/8,738.04 = 3,679.71/x
  3. Step 3: Cross multiply
    6,332.34x = 8,738.04 × 3,679.71
  4. Step 4: Simplify right side
    6,332.34x = 32,153,453.17
  5. Step 5: Solve for x
    x = 32,153,453.17/6,332.34
  6. Step 6: Final answer
    x = 5,077.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.